It is currently 13 Dec 2017, 09:12

# Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If |x–1|<4, so:

Author Message
TAGS:

### Hide Tags

Intern
Joined: 26 Feb 2017
Posts: 28

Kudos [?]: 45 [3], given: 41

Location: Brazil
GMAT 1: 610 Q45 V28
GPA: 3.11

### Show Tags

24 Oct 2017, 03:10
3
KUDOS
15
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

23% (00:43) correct 77% (00:48) wrong based on 343 sessions

### HideShow timer Statistics

If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above
[Reveal] Spoiler: OA

Kudos [?]: 45 [3], given: 41

Math Expert
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135508 [1], given: 12697

### Show Tags

24 Oct 2017, 03:13
1
KUDOS
Expert's post
4
This post was
BOOKMARKED
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

$$|x–1|<4$$;

$$-4<x-1<4$$;

$$-3<x<5$$.

Any x from that range will be more than -4.

P.S. What is the source of this question?
_________________

Kudos [?]: 135508 [1], given: 12697

Intern
Joined: 26 Feb 2017
Posts: 28

Kudos [?]: 45 [0], given: 41

Location: Brazil
GMAT 1: 610 Q45 V28
GPA: 3.11

### Show Tags

24 Oct 2017, 03:24
Bunuel wrote:
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

$$|x–1|<4$$;

$$-4<x-1<4$$;

$$-3<x<5$$.

Any x from that range will be more than -4.

P.S. What is the source of this question?

Bunnel,

First of all, thank you very much.

The source of this questions is a bank of questions that I received from a friend, whose his teacher gave to him.

I have huge doubts on inequalities topics.

As you explained above any value X>-4 can satisfy this.

What is the best approach to deal with this kind of questions? I solved -3<x<5, but I could not figure out, X>-4 because -3>-4 and do not satisfy the inequality.

I have the same doubt on this question, below...

https://gmatclub.com/forum/if-z-2-4z-5- ... l#p1949237

Kudos [?]: 45 [0], given: 41

Math Expert
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135508 [1], given: 12697

### Show Tags

24 Oct 2017, 03:27
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
vitorpteixeira wrote:
Bunuel wrote:
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

$$|x–1|<4$$;

$$-4<x-1<4$$;

$$-3<x<5$$.

Any x from that range will be more than -4.

P.S. What is the source of this question?

Bunnel,

First of all, thank you very much.

The source of this questions is a bank of questions that I received from a friend, whose his teacher gave to him.

I have huge doubts on inequalities topics.

As you explained above any value X>-4 can satisfy this.

What is the best approach to deal with this kind of questions? I solved -3<x<5, but I could not figure out, X>-4 because -3>-4 and do not satisfy the inequality.

I have the same doubt on this question, below...

https://gmatclub.com/forum/if-z-2-4z-5- ... l#p1949237

It's the other way around. We know that $$-3<x<5$$. Any x from that range satisfy x > -4.

Check similar questions:
https://gmatclub.com/forum/if-it-is-tru ... 81702.html
https://gmatclub.com/forum/if-xy-0-and- ... 39194.html
http://gmatclub.com/forum/if-it-is-true ... 29093.html
https://gmatclub.com/forum/if-it-is-tru ... 66196.html
http://gmatclub.com/forum/if-4x-12-x-9- ... 01732.html
https://gmatclub.com/forum/if-4-7-x-3-w ... 68681.html
https://gmatclub.com/forum/if-5-x-0-whi ... 31556.html
https://gmatclub.com/forum/if-it-is-tru ... -9602.html
https://gmatclub.com/forum/if-m-0-which ... 54150.html
https://gmatclub.com/forum/if-x-0-which ... 76331.html
https://gmatclub.com/forum/if-x-3-1-2-w ... 29673.html
_________________

Kudos [?]: 135508 [1], given: 12697

Manager
Joined: 02 Jul 2016
Posts: 83

Kudos [?]: 3 [0], given: 7

### Show Tags

25 Oct 2017, 09:40
Bunuel wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

$$|x–1|<4$$;

$$-4<x-1<4$$;

$$-3<x<5$$.

Any x from that range will be more than -4.

P.S. What is the source of this question?[/quote]

Hi, Bunuel
Just wanted to ask that since in this question it is not mentioned that x is an integer, by the range x>-4 it will include values greater than -3 also (say -3.8) but our range is from -3 to 5 so isnt this wrong????

Kudos [?]: 3 [0], given: 7

Math Expert
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135508 [0], given: 12697

### Show Tags

25 Oct 2017, 09:51

Kudos [?]: 135508 [0], given: 12697

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1799

Kudos [?]: 981 [0], given: 5

### Show Tags

26 Oct 2017, 14:47
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

We can solve the inequality when (x - 1) is positive and when it is negative.

When (x - 1) is positive:

x - 1 < 4

x < 5

When (x - 1) is negative:

-x + 1 < 4

-x < 3

x > -3

-3 < x < 5

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 981 [0], given: 5

Manager
Joined: 15 Feb 2017
Posts: 74

Kudos [?]: 64 [3], given: 0

### Show Tags

26 Oct 2017, 16:53
3
KUDOS
IMO Option D is the right answer.
|x-1|<4 means
-4<x-1<4
-3<x<5
Please give me kudos. I need them badly to unlock gmatclub tests

Kudos [?]: 64 [3], given: 0

Senior Manager
Joined: 05 Dec 2016
Posts: 250

Kudos [?]: 27 [0], given: 49

Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29

### Show Tags

27 Oct 2017, 04:01
It's a tricky question, I think I've encountered a sort of this one in OG2017.
Key to solve it is to find the range from the answer choices that covers all possible values of x,here it is answer choice D.

Kudos [?]: 27 [0], given: 49

Intern
Joined: 24 Nov 2016
Posts: 15

Kudos [?]: 2 [1], given: 10

### Show Tags

27 Oct 2017, 10:03
1
KUDOS
I can't understand why x>-4 is the correct answer.

Since we have -3<x<5 , -3 is out of the range and in x> -4 -3 is included in the number line.

Besides that, X>-4 we can have x=10, as an exemple, wich is not true since x<5.

Can someone help me with this points?

tks

Kudos [?]: 2 [1], given: 10

Intern
Joined: 07 Jul 2017
Posts: 10

Kudos [?]: 1 [0], given: 14

### Show Tags

01 Nov 2017, 07:13
Bunuel wrote:
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

$$|x–1|<4$$;

$$-4<x-1<4$$;

$$-3<x<5$$.

Any x from that range will be more than -4.

P.S. What is the source of this question?

Hi Bunuel, thanks for the explanation. I tend to approach this questions in the wrong way, trying to find an answer choice that matches with the range found through the inequalities. For instance, in this case I was looking for -3<x<5 (or something more restrictive, such as -2 < x < -5), which led me to pick answer E.

Given your explanation, I understand that I should look for that condition that holds for every x in the range...but I still have a huge doubt.
You say it is (D) x > -4 because any X from that range will be more than -4. Following your logic, wouldn't also B) x ≤ 4 be true? Our range is -3<x<5, which means that every x will be less or equal to 4.

Is there something I am not getting right?

Kudos [?]: 1 [0], given: 14

Math Expert
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135508 [1], given: 12697

### Show Tags

01 Nov 2017, 08:53
1
KUDOS
Expert's post
delid wrote:
Bunuel wrote:
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

$$|x–1|<4$$;

$$-4<x-1<4$$;

$$-3<x<5$$.

Any x from that range will be more than -4.

P.S. What is the source of this question?

Hi Bunuel, thanks for the explanation. I tend to approach this questions in the wrong way, trying to find an answer choice that matches with the range found through the inequalities. For instance, in this case I was looking for -3<x<5 (or something more restrictive, such as -2 < x < -5), which led me to pick answer E.

Given your explanation, I understand that I should look for that condition that holds for every x in the range...but I still have a huge doubt.
You say it is (D) x > -4 because any X from that range will be more than -4. Following your logic, wouldn't also B) x ≤ 4 be true? Our range is -3<x<5, which means that every x will be less or equal to 4.

Is there something I am not getting right?

For $$-3<x<5$$, (B) x ≤ 4 won't always be true. For example, x could be 4.5 (4.5 IS between -3 and 5) and in this case B is not true.
_________________

Kudos [?]: 135508 [1], given: 12697

Intern
Joined: 13 Oct 2017
Posts: 1

Kudos [?]: 0 [0], given: 0

### Show Tags

04 Nov 2017, 03:02
|x–1|<4

−3<x<5

Any x from that range will be more than -4.

Kudos [?]: 0 [0], given: 0

Intern
Joined: 25 Feb 2017
Posts: 10

Kudos [?]: 1 [0], given: 51

### Show Tags

09 Dec 2017, 04:54
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

HI ,How come D will be the answer . if x>5 it is still in the range of D . But doesnt satisfy the question

Kudos [?]: 1 [0], given: 51

Math Expert
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135508 [0], given: 12697

### Show Tags

09 Dec 2017, 04:57
ashisplb wrote:
vitorpteixeira wrote:
If |x–1|<4, so:

(A) x > 3
(B) x ≤ 4
(C) -4< x < 4
(D) x > -4
(E) none of the above

HI ,How come D will be the answer . if x>5 it is still in the range of D . But doesnt satisfy the question

_________________

Kudos [?]: 135508 [0], given: 12697

Re: If |x–1|<4, so:   [#permalink] 09 Dec 2017, 04:57
Display posts from previous: Sort by